Solve 0.12*(3/4-1/6)

$$0.12 \times ( \frac { 3 } { 4 } - \frac { 1 } { 6 } )$$

Evaluate

$$0.07$$

Solution Steps

Least common multiple of 4 and 6 is 12. Convert \frac{3}{4} and \frac{1}{6} to fractions with denominator 12.

$$0.12\left(\frac{9}{12}-\frac{2}{12}\right)$$

Since \frac{9}{12} and \frac{2}{12} have the same denominator, subtract them by subtracting their numerators.

$$0.12\times \frac{9-2}{12}$$

Subtract 2 from 9 to get 7.

$$0.12\times \frac{7}{12}$$

Convert decimal number 0.12 to fraction \frac{12}{100}. Reduce the fraction \frac{12}{100} to lowest terms by extracting and canceling out 4.

$$\frac{3}{25}\times \frac{7}{12}$$

Multiply \frac{3}{25} times \frac{7}{12} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 7}{25\times 12}$$

Do the multiplications in the fraction \frac{3\times 7}{25\times 12}.

$$\frac{21}{300}$$

Reduce the fraction \frac{21}{300} to lowest terms by extracting and canceling out 3.

$$\frac{7}{100}$$

Factor

$$\frac{7}{2 ^ {2} \cdot 5 ^ {2}} = 0.07$$